The Hochschild cohomology of square-free monomial complete intersections

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Abstract

We determine the Hochschild cohomology algebras of the square-free monomial complete intersections. In particular we provide an explicit formula for the cup product which gives the cohomology module an algebra structure and then we describe this structure in terms of generators and relations. In addition, we compute the Hilbert series of the Hochschild cohomology of these algebras.
Original languageEnglish (Ireland)
Pages (from-to)3040-3055
Number of pages15
JournalCommunications In Algebra
Volume47
Issue number8
DOIs
Publication statusPublished - 1 Aug 2019

Keywords

  • Hilbert series
  • Hochschild cohomology
  • Yoneda product

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Tran, NTH;Skoldberg, E

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